A simple proof of the discrete time geometric Pontryagin maximum principle on smooth manifolds
Abstract
We establish a geometric Pontryagin maximum principle for discrete time optimal control problems on finite dimensional smooth manifolds under the following three types of constraints: a) constraints on the states pointwise in time, b) constraints on the control actions pointwise in time, c) constraints on the frequency spectrum of the optimal control trajectories. Our proof follows, in spirit, the path to establish geometric versions of the Pontryagin maximum principle on smooth manifolds indicated in [Cha11] in the context of continuoustime optimal control.
 Publication:

arXiv eprints
 Pub Date:
 June 2018
 arXiv:
 arXiv:1807.00698
 Bibcode:
 2018arXiv180700698K
 Keywords:

 Mathematics  Optimization and Control;
 Computer Science  Systems and Control;
 49J21
 EPrint:
 11 pages. arXiv admin note: text overlap with arXiv:1708.04419